UConn is an odd duck school that doesn't fit into any conference well.
It's a much larger school and public, unlike the mid-sized Catholic schools in the Big East. But too "big time" and and not a geographic fit for the American. It's only been playing FBS football since 2000 and so unlikely to be attractive to the ACC, Big 12, etc.
Really, the big Northeastern public schools should have formed their own conference years ago when Pitt, Rutgers and Penn St were still "free agents", but since they were all over the place in terms of the level of their football programs, they never had the opportunity.
A good start to a conference would be UMass, UConn, Army, Navy, Temple, and Marshall. Maybe Old Dominion. Try to get others like URI, Delaware and Maine to jump up a level in football. That would at least give you a cohesive group of schools to have a conference around.